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Mathematics
Problem
Which of the following statements must be true about a series
∑
a
n
\sum a_n
∑
a
n
if
∑
∣
a
n
∣
\sum |a_n|
∑
∣
a
n
∣
converges? a) The series
∑
a
n
\sum a_n
∑
a
n
is conditionally convergent. b) Each term
a
n
a_n
a
n
is positive. c) The series
∑
a
n
\sum a_n
∑
a
n
converges. d) Rearranging the terms necessarily changes the sum.
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